42 and 1 over 2 divided by 1 and 1 over 4 as a fraction
To convert 42 and 1/2 to a fraction, we need to find the equivalent mixed number without any whole numbers.
First, we find the equivalent fraction of the fraction part:
1/2 = 2/4
Next, we add the whole number part to the fraction part:
42 + 2/4 = 42 + 2/4
Now, we can combine the whole number and fraction parts:
42 + 2/4 = 42 + 2/4 = 42 + 1/2
Finally, the given mixed number 42 and 1/2 can be written as a fraction:
42 and 1/2 = (42*2 + 1)/2 = (84 + 1)/2 = 85/2
Therefore, 42 and 1/2 expressed as a fraction is 85/2.
Now, let's divide this fraction by 1 and 1/4:
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 1 and 1/4 = 4/5
So, multiplying the fractions together:
(85/2) / (4/5)
= (85/2) * (5/4)
= (85 * 5) / (2 * 4)
= 425/8
Therefore, 42 and 1/2 divided by 1 and 1/4 as a fraction is 425/8.
8 and 1 over 2
34
43 and 3 over 4
53
To divide 8 and 1/2 by 34 as a fraction:
First, convert the mixed number 8 and 1/2 to an improper fraction.
8 and 1/2 = 8 + 1/2 = (8 * 2 + 1)/2 = 17/2
Next, divide the fraction by 34 by multiplying it by the reciprocal of 34.
17/2 ÷ 34 = 17/2 * 1/34 = 17/68
Therefore, 8 and 1/2 divided by 34 as a fraction is 17/68.
To divide 43 and 3/4 by 53 as a fraction:
First, convert the mixed number 43 and 3/4 to an improper fraction.
43 and 3/4 = 43 + 3/4 = (43 * 4 + 3)/4 = 175/4
Next, divide the fraction 175/4 by 53 by multiplying it by the reciprocal of 53.
175/4 ÷ 53 = 175/4 * 1/53 = 175/212
Therefore, 43 and 3/4 divided by 53 as a fraction is 175/212.
To divide two fractions, you need to follow these steps:
Step 1: Convert mixed numbers to improper fractions:
42 and 1/2 is equal to (42 * 2 + 1) / 2 = 85/2
1 and 1/4 is equal to (1 * 4 + 1) / 4 = 5/4
Step 2: Invert the second fraction:
Take the reciprocal of the second fraction by swapping the numerator and denominator. The reciprocal of 5/4 is 4/5.
Step 3: Multiply the fractions:
Now, multiply the two fractions together:
(85/2) * (4/5) = (85 * 4) / (2 * 5) = 340/10
Step 4: Simplify the fraction:
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 340 and 10 is 10.
340/10 = (340 ÷ 10) / (10 ÷ 10) = 34/1
Therefore, 42 and 1/2 divided by 1 and 1/4 as a fraction is 34/1 or simply 34.
To divide mixed numbers as fractions, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
1. Convert 42 into an improper fraction:
42 = 42/1
2. Convert 1 and 1/2 into an improper fraction:
1 + 1/2 = (2/2) + 1/2 = 3/2
3. Convert 1 and 1/4 into an improper fraction:
1 + 1/4 = (4/4) + 1/4 = 5/4
Step 2: Multiply the first fraction by the reciprocal of the second fraction.
So, (42/1) ÷ (3/2) can be written as:
(42/1) × (2/3)
Step 3: Simplify the resulting fraction.
Multiply the numerators and denominators together:
(42/1) × (2/3) = (42 × 2) / (1 × 3) = 84/3
Now, simplify the fraction:
84 ÷ 3 = 28
Therefore, 42 and 1/2 divided by 1 and 1/4 equals the fraction 28/1, which simplifies to the whole number fraction 28.